Search Results for: 11B39

Some aspects of interchanging difference equation orders

Anthony G. Shannon and Engin Özkan Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 507–516 DOI: 10.7546/nntdm.2022.28.3.507-516 Full paper (PDF, 592 Kb) Details Authors and affiliations Anthony G. Shannon … Continue reading →

Comments Off on Some aspects of interchanging difference equation orders

On the derivatives of B-Tribonacci polynomials

Suchita Arolkar Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 491–499 DOI: 10.7546/nntdm.2022.28.3.491-499 Full paper (PDF, 167 Kb) Details Authors and affiliations Suchita Arolkar Department of Mathematics and Statistics, … Continue reading →

Comments Off on On the derivatives of B-Tribonacci polynomials

Generalized Pisano numbers

Yüksel Soykan, İnci Okumuş and Erkan Taşdemir Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 477–490 DOI: 10.7546/nntdm.2022.28.3.477-490 Full paper (PDF, 196 Kb) Details Authors and affiliations Yüksel Soykan … Continue reading →

Comments Off on Generalized Pisano numbers

On linear algebra of one type of symmetric matrices with harmonic Fibonacci entries

Mücahit Akbıyık, Seda Yamaç Akbıyık and Fatih Yılmaz Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 399–410 DOI: 10.7546/nntdm.2022.28.3.399-410 Full paper (PDF, 209 Kb) Details Authors and affiliations Mücahit … Continue reading →

Comments Off on On linear algebra of one type of symmetric matrices with harmonic Fibonacci entries

Two 2-Fibonacci sequences generated by a mixed scheme. Part 1

Krassimir T. Atanassov Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 331–338 DOI: 10.7546/nntdm.2022.28.2.331-338 Full paper (PDF, 227 Kb) Details Authors and affiliations Krassimir T. Atanassov Department of Bioinformatics … Continue reading →

Comments Off on Two 2-Fibonacci sequences generated by a mixed scheme. Part 1

On hyperbolic k-Jacobsthal and k-Jacobsthal–Lucas octonions

Engin Özkan and Mine Uysal Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 318–330 DOI: 10.7546/nntdm.2022.28.2.318-330 Full paper (PDF, 344 Kb) Details Authors and affiliations Engin Özkan Department of … Continue reading →

Comments Off on On hyperbolic k-Jacobsthal and k-Jacobsthal–Lucas octonions

q-Fibonacci bicomplex and q-Lucas bicomplex numbers

Fügen Torunbalcı Aydın Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 261–275 DOI: 10.7546/nntdm.2022.28.2.261-275 Full paper (PDF, 252 Kb) Details Authors and affiliations Fügen Torunbalcı Aydın  Yildiz Technical University, … Continue reading →

Comments Off on q-Fibonacci bicomplex and q-Lucas bicomplex numbers

Some equalities and binomial sums about the generalized Fibonacci number un

Yücel Türker Ulutaş and Derya Toy Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 252–260 DOI: 10.7546/nntdm.2022.28.2.252-260 Full paper (PDF, 146 Kb) Details Authors and affiliations Yücel Türker Ulutaş … Continue reading →

Comments Off on Some equalities and binomial sums about the generalized Fibonacci number un

On two new combined 3-Fibonacci sequences. Part 3

Krassimir T. Atanassov Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 143–146 DOI: 10.7546/nntdm.2022.28.1.143-146 Full paper (PDF, 122 Kb) Details Authors and affiliations Krassimir T. Atanassov   Department of … Continue reading →

Comments Off on On two new combined 3-Fibonacci sequences. Part 3

Linear recurrence sequence associated to rays of negatively extended Pascal triangle

Hacène Belbachir, Abdelkader Bouyakoub and Fariza Krim Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 129–142 DOI: 10.7546/nntdm.2022.28.1.129-142 Full paper (PDF, 247 Kb) Details Authors and affiliations Hacène Belbachir … Continue reading →

Comments Off on Linear recurrence sequence associated to rays of negatively extended Pascal triangle